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Finding the Fourth Proportional to 550,973.16, 826,401.42 and 176,967

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Solution

The fourth proportional to 550,973.16, 826,401.42 and 176,967 is: 265,431.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,973.16 : 826,401.42 = 176,967 : x
  2. Step 2: Convert to fraction form
    550,973.16/826,401.42 = 176,967/x
  3. Step 3: Cross multiply
    550,973.16x = 826,401.42 × 176,967
  4. Step 4: Simplify right side
    550,973.16x = 146,245,780,093.14
  5. Step 5: Solve for x
    x = 146,245,780,093.14/550,973.16
  6. Step 6: Final answer
    x = 265,431.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.